Elliptic elements in a Weyl group: a homogeneity property
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Lusztig_Elliptic Elements.pdf
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318.68 KB
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Author(s)
Lusztig, George
Date Issued
February 2012
Journal
Representation Theory
Publisher
American Mathematical Society
Citation
Lusztig, G. “Elliptic Elements in a Weyl Group: a Homogeneity Property.” Representation Theory of the American Mathematical Society 16.4 (2012): 127–151. Web. © 2012, American Mathematical Society.
Version
Final published version
Abstract
Let G be a reductive group over an algebraically closed field whose characteristic is not a bad prime for G. Let w be an elliptic element of the Weyl group which has minimum length in its conjugacy class. We show that there exists a unique unipotent class X in G such that the following holds: if V is the variety of pairs (g,B) where g\in X and B is a Borel subgroup such that B,gBg[superscript -1] are in relative position w, then V is a homogeneous G-space.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1090/S1088-4165-2012-00409-5
